Contemporary interpretations of decision-making (DM) accepted in cognitive models of choices arc considered. Such a models omit components reflected intellectual mediation of DM and personal involvement into resolving of uncertainly. The analysis of these models has shown that some logical links in cognitive and personality components of DM as well as in formulating of the psychological hypotheses about the mechanisms of regulation are not elaborated. Proposed interpretation of the principle of the functional regulation of intellectual decision-making is resulted in some problems regarding ontology of basic processes, background for important factors and revealing the hierarchy of the different levels mechanisms of psychological control of intellectual DM.